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Finding the Third Proportional to 636,210 and 983,838

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Solution

The third proportional to 636,210 and 983,838 is: 1,521,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,210 : 983,838 = 983,838 : x
  2. Step 2: Convert to fraction form
    636,210/983,838 = 983,838/x
  3. Step 3: Cross multiply
    636,210x = 983,838 × 983,838
  4. Step 4: Simplify right side
    636,210x = 967,937,210,244
  5. Step 5: Solve for x
    x = 967,937,210,244/636,210
  6. Step 6: Final answer
    x = 1,521,411.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.